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Finding the Fourth Proportional to 209.57, 314.37 and 72.61

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Solution

The fourth proportional to 209.57, 314.37 and 72.61 is: 108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 314.37 = 72.61 : x
  2. Step 2: Convert to fraction form
    209.57/314.37 = 72.61/x
  3. Step 3: Cross multiply
    209.57x = 314.37 × 72.61
  4. Step 4: Simplify right side
    209.57x = 22,825.62
  5. Step 5: Solve for x
    x = 22,825.62/209.57
  6. Step 6: Final answer
    x = 108.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.